充分条件

A sufficient condition that characteristic exponent can be assigned arbitrarily for linear periodic system is also attained in the paper.

文章还给出了一个线性周期系统特征指数可以任意配置的充分条件。

In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment of the closed-loop systems is transferr.

以代数几何方法为工具，将此闭环系统的特征多项式配置问题转化为判别有理映射是否为到上的，推导出多输入的 2 D广义系统Roe sser模型由状态反馈几乎任意配置特征多项式系数的充分条件。

Based on this thought, in this thesis, the alternation theorem is first extended to the Chebyshev approximation problems with inequality constraints, and then two algorithms are devised for designing linear phase FIR filters with inequality constraints in Chebyshev sense according to the extended theorem.

L.J.Karam和McClellan在文献[20]中把交错点组定理扩展到复数域，并提出了求解复系数FIR滤波器的复Remez算法，但由于此扩展定理只是一个充分条件，所以此算法不能保证得到最优解。在文献[23]中，他们对复Remez算法进行了完善，使其收敛到最优解。

The circulant structure of the circulant matrices provides an effective method for the stability analysis of the switched hypercycle systems.

循环矩阵的循环结构为研究切换超循环系统的稳定性提供了有效的方法，给出切换线性时变超循环系统在任意切换律下渐近稳定的充要条件和切换线性定常超循环系统可切换镇定的充分条件。

We study the definition of bialgebra and prove the sufficient conditions about a bialgebra is commutative and cocommutative.

从双代数的定义入手，给出了双代数成为交换和余交换双代数的两个充分条件。

The sufficient conditions for the stability of the fuzzy decentralized system with time-delay are proposed by using Lyapunov function combined with linear matrix inequalities.

应用李亚普诺夫函数法和线性矩阵不等式方法给出了模糊分散控制系统稳定的充分条件。

In this paper, the difference of compact operator on p-Bloch space and little p-Bloch space of polydisc will be considered, and we will give a sufficient condition for the compactness of the difference of compact operator, and then prove it.

本文主要研究了多圆柱上p-Bloch空间之间及小p-Bloch空间之间的复合算子的差分形式，给出了它有界性和紧性的一个充分条件。

It followsthat it is possible to construct various kinds of regularization methods by combining the filter functions with the solution expression of compact operator equation.

文中给出了滤子函数的充分条件和三个最重要的滤子函数，其中，用第三个滤子函数构造的正则化是谱截断正则化，而用第一个滤子函数构造的正则化正是Tikhonov正则化。

In the process of calculation, by comparison theorem and strict calculation, some sufficient conditions for persistent and extinct of three populations are obtained.

推导过程中主要应用了比较定理，并且通过严密的计算，得到了三种群持续生存性和绝灭性的充分条件。

Making use of the comparison theorem, some sufficient conditions are derived for permanence of the system and non-permanence of predators.

运用比较定理，得到了系统持久生存和捕食者灭绝的充分条件。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。